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ProbabilityQ&A Library4. The Poisson distribution is an important discrete distribution used to model events that occurwith characteristic rates. It is also the underlying statistical model for regression techniquesinvolving categorical data. The pmf of the Poisson distribution is given by:ake-2P(X = k)k!a) Show that the mean/expected value of this distribution is given by:E(X) = 1b) Show that the variance of this distribution is given by:Var(X) = E(X²) – (E(X))² = 1Question

Asked Feb 4, 2020

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Step 1

**a) Expected value:**

The expected value is given below:

Step 2

**b.**

The variance is calculated by th...

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